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  1. Can someone explain what plim is? - Mathematics Stack Exchange

    Oct 30, 2012 · In my Introductory Econometrics class we discussed a concept of "plim" or "probability limit. I'm not sure what this means though and my professor doesn't explain it well at all. Can …

  2. probability theory - Why does plim converge to expected value ...

    May 17, 2021 · Why does plim converge to expected value? Ask Question Asked 4 years, 7 months ago Modified 4 years, 7 months ago

  3. probability theory - plim$ (g (X_n\cdot Y_n)) = g (X\cdot Y)$ where ...

    The comment by zhoraster helped me figure it out. Since we know each Random Variable converges in probability to something, and convergence is probability for a random vector is defined as element …

  4. Show that $plim A_n = plim B_n$ implies $plim V(A_n) = plim V(B_n)$

    Apr 28, 2023 · The multivariate version of cauchy-schwarz that I know is \begin {equation} \mathrm {Var} (B_n) \ge \mathrm {Cov} (B_n,A_n) \mathrm {Var} (A_n)^ {-1} \mathrm {Cov} (A ...

  5. Bias and variance of IV estimation - Mathematics Stack Exchange

    Mar 30, 2019 · where we have used homoskedasticity, plim properties and Central Limit Theorem (explaining the $\frac {1} {n}$)

  6. Asymptotic distribution of OLS estimator in a linear regression

    Mar 29, 2020 · So I applied the CLT incorrectly? Because $\hat {\beta}$ is not a sample mean?

  7. User Balien - Mathematics Stack Exchange

    Dec 8, 2025 · Q&A for people studying math at any level and professionals in related fields

  8. real analysis - Calculating the limit $\lim ( (n!)^ {1/n ...

    Mar 16, 2016 · Find $\\lim_{n\\to\\infty} ((n!)^{1/n})$. The question seemed rather simple at first, and then I realized I was not sure how to properly deal with this at all. My attempt: take the logarithm, $$\\lim_...

  9. logic - Can someone explain Gödel's incompleteness theorems in …

    Jul 28, 2013 · The problem with Gödel's incompleteness is that it is so open for exploitations and problems once you don't do it completely right. You can prove and disprove the existence of god …

  10. Why is two the only even number that is prime?

    Nov 3, 2014 · The other prime numbers are all odd numbers such as $5, 11, 127,$ and $37$. So, why is $2$ the only prime even number there is? Is it because it only has 1 and itself that way, even though …